Neural networks, rational functions, and realization theory

DOI10.1007/BF01212365zbMath0843.93016OpenAlexW1995448016MaRDI QIDQ1904427

Robert C. Williamson, Uwe R. Helmke

Publication date: 1 February 1996

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01212365

zbMATH Keywords

neural networksrational functionsJordan canonical formminimal realizationsrealization theory

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Linear systems in control theory (93C05) Realizations from input-output data (93B15)

Cites Work

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• Waring's problem for binary forms
• Multilayer feedforward networks are universal approximators
• On extended varisolvent families
• On the Scalar Rational Interpolation Problem
• Complex domain backpropagation
• Approximation by superpositions of a sigmoidal function